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300023504114432 = 287179848460613
BaseRepresentation
bin100010000110111101010101…
…0011000110001001100000000
31110100021222002212002022102212
41010031322222120301030000
5303311041114023130212
62542032521155001252
7120123661056241040
oct10415725230611400
91410258085068385
10300023504114432
118766228752658a
1229796694599228
13cb54130a59a37
14541330226b720
1524a447704ae22
hex110deaa631300

300023504114432 has 72 divisors (see below), whose sum is σ = 724689125820576. Its totient is φ = 121017884000256.

The previous prime is 300023504114429. The next prime is 300023504114527. The reversal of 300023504114432 is 234411405320003.

It is a super-2 number, since 2×3000235041144322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4924199843 + ... + 4924260770.

It is an arithmetic number, because the mean of its divisors is an integer number (10065126747508).

Almost surely, 2300023504114432 is an apocalyptic number.

300023504114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300023504114432 is an abundant number, since it is smaller than the sum of its proper divisors (424665621706144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300023504114432 is an equidigital number, since it uses as much as digits as its factorization.

300023504114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848460653 (or 9848460639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 300023504114432 its reverse (234411405320003), we get a palindrome (534434909434435).

The spelling of 300023504114432 in words is "three hundred trillion, twenty-three billion, five hundred four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 9848460613 19696921226 39393842452 68939224291 78787684904 137878448582 157575369808 167423830421 275756897164 315150739616 334847660842 551513794328 630301479232 669695321684 1103027588656 1171966812947 1260602958464 1339390643368 2206055177312 2343933625894 2521205916928 2678781286736 4412110354624 4687867251788 5357562573472 8824220709248 9375734503576 10715125146944 17648441418496 18751469007152 21430250293888 37502938014304 42860500587776 75005876028608 150011752057216 300023504114432